TSTP Solution File: KRS139+1 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : KRS139+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 23:19:20 EDT 2024
% Result : Theorem 3.21s 1.77s
% Output : Refutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 64 ( 13 unt; 11 typ; 0 def)
% Number of atoms : 176 ( 5 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 373 ( 89 ~; 73 |; 27 &; 171 @)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 35 ( 0 ^ 33 !; 2 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(cowlThing_type,type,
cowlThing: $i > $o ).
thf(cowlNothing_type,type,
cowlNothing: $i > $o ).
thf(xsd_string_type,type,
xsd_string: $i > $o ).
thf(xsd_integer_type,type,
xsd_integer: $i > $o ).
thf(iAntwerp_type,type,
iAntwerp: $i ).
thf(rpath_type,type,
rpath: $i > $i > $o ).
thf(iGhent_type,type,
iGhent: $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(4,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(20,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(21,plain,
( ! [A: $i] :
( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(miniscope,[status(thm)],[20]) ).
thf(22,plain,
! [A: $i] :
( ( xsd_integer @ A )
| ( xsd_string @ A ) ),
inference(cnf,[status(esa)],[21]) ).
thf(24,plain,
! [A: $i] :
( ( xsd_integer @ A )
| ( xsd_string @ A ) ),
inference(simp,[status(thm)],[22]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cowlThing @ iAntwerp )
& ( rpath @ iAntwerp @ iGhent )
& ( cowlThing @ iGhent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cowlThing @ iAntwerp )
& ( rpath @ iAntwerp @ iGhent )
& ( cowlThing @ iGhent ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) )
& ( cowlThing @ iAntwerp )
& ( rpath @ iAntwerp @ iGhent )
& ( cowlThing @ iGhent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,plain,
~ ( ! [A: $i] : ( cowlThing @ A )
& ~ ? [A: $i] : ( cowlNothing @ A )
& ! [A: $i] :
( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) )
& ( cowlThing @ iAntwerp )
& ( rpath @ iAntwerp @ iGhent )
& ( cowlThing @ iGhent ) ),
inference(miniscope,[status(thm)],[9]) ).
thf(13,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cowlThing @ iAntwerp )
| ~ ( rpath @ iAntwerp @ iGhent )
| ~ ( cowlThing @ iGhent ) ),
inference(cnf,[status(esa)],[10]) ).
thf(8,axiom,
rpath @ iGhent @ iAntwerp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(29,plain,
rpath @ iGhent @ iAntwerp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( rpath @ A @ B )
=> ( rpath @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(25,plain,
! [A: $i,B: $i] :
( ( rpath @ A @ B )
=> ( rpath @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(26,plain,
! [B: $i,A: $i] :
( ~ ( rpath @ A @ B )
| ( rpath @ B @ A ) ),
inference(cnf,[status(esa)],[25]) ).
thf(48,plain,
! [B: $i,A: $i] :
( ( rpath @ B @ A )
| ( ( rpath @ iGhent @ iAntwerp )
!= ( rpath @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[29,26]) ).
thf(49,plain,
rpath @ iAntwerp @ iGhent,
inference(pattern_uni,[status(thm)],[48:[bind(A,$thf( iGhent )),bind(B,$thf( iAntwerp ))]]) ).
thf(3,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(15,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(16,plain,
( ! [A: $i] : ( cowlThing @ A )
& ~ ? [A: $i] : ( cowlNothing @ A ) ),
inference(miniscope,[status(thm)],[15]) ).
thf(18,plain,
! [A: $i] : ( cowlThing @ A ),
inference(cnf,[status(esa)],[16]) ).
thf(17,plain,
! [A: $i] :
~ ( cowlNothing @ A ),
inference(cnf,[status(esa)],[16]) ).
thf(19,plain,
! [A: $i] :
~ ( cowlNothing @ A ),
inference(simp,[status(thm)],[17]) ).
thf(62,plain,
( ~ $true
| $false
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[13,49,18,19]) ).
thf(63,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 ) ),
inference(simp,[status(thm)],[62]) ).
thf(11,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cowlThing @ iAntwerp )
| ~ ( rpath @ iAntwerp @ iGhent )
| ~ ( cowlThing @ iGhent ) ),
inference(cnf,[status(esa)],[10]) ).
thf(34,plain,
( ~ $true
| $false
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true
| ~ ( rpath @ iAntwerp @ iGhent )
| ~ $true ),
inference(rewrite,[status(thm)],[11,18,19]) ).
thf(35,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( rpath @ iAntwerp @ iGhent ) ),
inference(simp,[status(thm)],[34]) ).
thf(56,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true ),
inference(rewrite,[status(thm)],[35,49]) ).
thf(57,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 ) ),
inference(simp,[status(thm)],[56]) ).
thf(60,plain,
! [A: $i] :
( ( xsd_string @ A )
| ( xsd_string @ sk3 )
| ( ( xsd_integer @ A )
!= ( xsd_integer @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[24,57]) ).
thf(61,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 ) ),
inference(pattern_uni,[status(thm)],[60:[bind(A,$thf( sk4 ))]]) ).
thf(12,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cowlThing @ iAntwerp )
| ~ ( rpath @ iAntwerp @ iGhent )
| ~ ( cowlThing @ iGhent ) ),
inference(cnf,[status(esa)],[10]) ).
thf(43,plain,
( ~ $true
| $false
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true
| ~ ( rpath @ iAntwerp @ iGhent )
| ~ $true ),
inference(rewrite,[status(thm)],[12,18,19]) ).
thf(44,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( rpath @ iAntwerp @ iGhent ) ),
inference(simp,[status(thm)],[43]) ).
thf(54,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true ),
inference(rewrite,[status(thm)],[44,49]) ).
thf(55,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 ) ),
inference(simp,[status(thm)],[54]) ).
thf(76,plain,
( ( xsd_string @ sk3 )
| ( ( xsd_string @ sk4 )
!= ( xsd_string @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[61,55]) ).
thf(77,plain,
xsd_string @ sk3,
inference(pattern_uni,[status(thm)],[76:[]]) ).
thf(23,plain,
! [A: $i] :
( ~ ( xsd_string @ A )
| ~ ( xsd_integer @ A ) ),
inference(cnf,[status(esa)],[21]) ).
thf(84,plain,
! [A: $i] :
( ~ ( xsd_integer @ A )
| ( ( xsd_string @ sk3 )
!= ( xsd_string @ A ) ) ),
inference(paramod_ordered,[status(thm)],[77,23]) ).
thf(85,plain,
~ ( xsd_integer @ sk3 ),
inference(pattern_uni,[status(thm)],[84:[bind(A,$thf( sk3 ))]]) ).
thf(89,plain,
( $false
| ~ ( xsd_integer @ sk4 ) ),
inference(rewrite,[status(thm)],[63,85]) ).
thf(90,plain,
~ ( xsd_integer @ sk4 ),
inference(simp,[status(thm)],[89]) ).
thf(97,plain,
! [A: $i] :
( ( xsd_string @ A )
| ( ( xsd_integer @ A )
!= ( xsd_integer @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[24,90]) ).
thf(98,plain,
xsd_string @ sk4,
inference(pattern_uni,[status(thm)],[97:[bind(A,$thf( sk4 ))]]) ).
thf(14,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cowlThing @ iAntwerp )
| ~ ( rpath @ iAntwerp @ iGhent )
| ~ ( cowlThing @ iGhent ) ),
inference(cnf,[status(esa)],[10]) ).
thf(66,plain,
( ~ $true
| $false
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[14,49,18,19]) ).
thf(67,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 ) ),
inference(simp,[status(thm)],[66]) ).
thf(87,plain,
( $false
| ~ ( xsd_string @ sk4 ) ),
inference(rewrite,[status(thm)],[67,85]) ).
thf(88,plain,
~ ( xsd_string @ sk4 ),
inference(simp,[status(thm)],[87]) ).
thf(99,plain,
$false,
inference(rewrite,[status(thm)],[98,88]) ).
thf(100,plain,
$false,
inference(simp,[status(thm)],[99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS139+1 : TPTP v8.2.0. Released v3.1.0.
% 0.11/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n015.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat May 18 22:18:24 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.99/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/0.96 % [INFO] Parsing done (94ms).
% 1.15/0.97 % [INFO] Running in sequential loop mode.
% 1.47/1.16 % [INFO] nitpick registered as external prover.
% 1.47/1.17 % [INFO] Scanning for conjecture ...
% 1.78/1.22 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 1.81/1.24 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.81/1.25 % [INFO] Problem is first-order (TPTP FOF).
% 1.81/1.25 % [INFO] Type checking passed.
% 1.81/1.26 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.21/1.76 % [INFO] Killing All external provers ...
% 3.21/1.77 % Time passed: 1234ms (effective reasoning time: 796ms)
% 3.21/1.77 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.21/1.77 % Axioms used in derivation (4): axiom_1, axiom_5, axiom_2, axiom_0
% 3.21/1.77 % No. of inferences in proof: 53
% 3.21/1.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1234 ms resp. 796 ms w/o parsing
% 3.39/1.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.39/1.84 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------